{
  "id": "1401.1613",
  "version": "v1",
  "published": "2014-01-08T08:59:50.000Z",
  "updated": "2014-01-08T08:59:50.000Z",
  "title": "The effective cone of the moduli space of sheaves on the plane",
  "authors": [
    "Izzet Coskun",
    "Jack Huizenga",
    "Matthew Woolf"
  ],
  "comment": "37 pages, 6 figures, comments welcome!",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We compute the cone of effective divisors on any moduli space of semistable sheaves on the plane. The computation hinges on finding a good resolution of a general stable sheaf. This resolution is determined by Bridgeland stability and arises from a well-chosen Beilinson spectral sequence. The existence of a good choice of spectral sequence depends on remarkable number-theoretic properties of the slopes of exceptional bundles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-08T08:59:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "14E30",
      "14D20",
      "13D02"
    ],
    "keywords": [
      "moduli space",
      "effective cone",
      "well-chosen beilinson spectral sequence",
      "spectral sequence depends",
      "resolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.1613C"
    }
  }
}